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Finding the Fourth Proportional to 224,651.88, 336,811.37 and 106,184.79

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Solution

The fourth proportional to 224,651.88, 336,811.37 and 106,184.79 is: 159,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,651.88 : 336,811.37 = 106,184.79 : x
  2. Step 2: Convert to fraction form
    224,651.88/336,811.37 = 106,184.79/x
  3. Step 3: Cross multiply
    224,651.88x = 336,811.37 × 106,184.79
  4. Step 4: Simplify right side
    224,651.88x = 35,764,244,062.14
  5. Step 5: Solve for x
    x = 35,764,244,062.14/224,651.88
  6. Step 6: Final answer
    x = 159,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.